MATHEMATICS HIGH SCHOOL

-3-y=24
y=3x solving systems of equations by substitution

Answers

Answer 1
Answer: { - 3 - y = 24   ⇒ - y = 24 + 3  .(-1)   ⇒ y = - 24 - 3  ⇒ y = - 27
{ y = 3x

y = 3x
( - 27 ) = 3x
- 27 = 3x
- 27 = x
   3
- 9 = x

S = { - 9 , - 27 }

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HELP PLEASE 15 POINTS!!A student is attempting to simplify the exponent shown below. Which statement best applies to the sample mathematical work? given (2x/y)^9* (x/3)^2 Step 1: I first apply the exponent in the left term, which gives the quantity 8x^3/y^3 Step 2: I next apply the exponent in the right term, which gives the quantity x^2/9 Step 3: I combine the two terms from Step 1 and Step 2 and simplify to get a final answer of 8x^6/9y^3 A. The student incorrectly applies the exponent in Step 1. B. The student incorrectly applies the exponent in Step 2. C. The student incorrectly combines the results from Steps 1 and 2 in Step 3. D. The mathematical work shown is correct.

if i get the fraction "2/2" and i need to reduce it would it be "1" or "2" like would it be 2 wholes or only 1??

Answers

parts/whole

if you have 2 parts and 2 are needed to make 1 whole, then you have 1 whole since
x/x=1 where x=x

it would be only 1
A fraction is a division problem, so 2/2 is also two divided by two.

Two goes into two only one time, so your answer is 1.

Ellen plans to have two children but doesn't know if they will be boy-boy, girl-girl, or boy-girl. What is the probability that she will have two girls?0.25
0.5
0.75
1.00

Answers

Answer:

Option A. 0.25

Step-by-step explanation:

Ellen plans two children but does not know if they will be boy-boy, girl-girl or boy-girl.

For the first baby to be the girl child

Probability = (1)/(2)

Similarly probability for second baby to be the girl child will be (1)/(2)

Now both the children are girl to probability for this event will be

= (1)/(2) × (1)/(2)

= (1)/(4)

= 0.25

Option A. 0.25 is the answer.
.25 because you would look at it like a boy-girl situation and this problem is more of a science problem. Anyways, if you do BG(BoyGirl) x BG(BoyGirl) it equals BB(Boy Boy), BG( Boy Girl ), another BG and a GG ( Girl Girl ) so there is a 1/4 chance of having 2 girls which is the same as .25. 

A school librarian can buy books at a 20% discount from the list price. One month she spent $72 for books. What was the list price value of the books? Is the answer $90?

Answers

Answer:

\boxed{\sf \ \ YES \ \ }

Step-by-step explanation:

Hello

let's say that the price of the book was x

the price after a 20% discount is x - 20%*x = x*(1-20%)=x*(1-.20)=0.8*x

and this is $72 so we can write that

0.8*x=72

and then divide by 0.8 both parts

x = 72/0.8=90

So the list price value of the book is $90

and we can verify as 90 - 20%*90 = 90 - 18 = 72

Hope this helps

A pipe fills a barrel with vinegar in 20 minutes. A release valve on the barrel, used for drainage, can empty the barrel in 40 minutes. A new employee mistakenly left the drainage valve open as he turned on the pipe to fill a barrel. How long will it take to fill the barrel if the pipe is filling at the same time the valve is emptying?

Answers

Answer:

40 minutes

Step-by-step explanation:

We have a load and a discharge, given by a speed that would be a barrel / minute.

Which means that the loading rate is: 1/20

And the discharge rate: 1/40

Since they are contrary, the result would be the subtraction between these two rates:

1/20 - 1/40 = 1 / x

1 / x = 0.025

x = 1 / 0.025

x = 40

Which means it will take 40 minutes to fill under the mentioned conditions

1.(02.01)
Solve -4(x + 1) – 3 = -3(x – 4). (1 point)
O
-19
19
2.

Answers

Answer:

x = -19

Step-by-step explanation:

hope this help :)

Answer:

\boxed {x = -19}

Step-by-step explanation:

Solve for the value of x:

-4(x + 1) - 3 = -3(x - 4)

-Use Distributive Property to both sides of the equation:

-4(x + 1) - 3 = -3(x - 4)

-4x - 4 - 3 = -3x + 12

-Combine like terms:

-4x - 4 - 3 = -3x + 12

-4x - 7 = -3x + 12

-Take -3x and add it to -4x:

-4x - 7 + 3x = -3x + 3x + 12

-x - 7 = 12

-Add both sides by 7:

-x - 7 + 7 = 12 + 7

-x = 19

-To make the variable xpositive, divide both sides by -1:

(-x)/(-1) = (19)/(-1)

\boxed {x = -19}

Therefore, the value of x is -19.

Which of the following numbers would you multiply -3/4 by to equal 1?
@Sbcardinals

Answers

Just multiply -3/4 by -4/3 :)

You have to multiply -3/4 by a negative number to make it positive and the 3/4 cancels out into 1 when multiplied by 4/3. Hope this helped!
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